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Finding the Fourth Proportional to 3,532.84, 5,295.80 and 1,683.46

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Solution

The fourth proportional to 3,532.84, 5,295.80 and 1,683.46 is: 2,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.84 : 5,295.80 = 1,683.46 : x
  2. Step 2: Convert to fraction form
    3,532.84/5,295.80 = 1,683.46/x
  3. Step 3: Cross multiply
    3,532.84x = 5,295.80 × 1,683.46
  4. Step 4: Simplify right side
    3,532.84x = 8,915,267.47
  5. Step 5: Solve for x
    x = 8,915,267.47/3,532.84
  6. Step 6: Final answer
    x = 2,523.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.